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Finding the Fourth Proportional to 10,424.64, 14,386 and 5,708.92

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Solution

The fourth proportional to 10,424.64, 14,386 and 5,708.92 is: 7,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.64 : 14,386 = 5,708.92 : x
  2. Step 2: Convert to fraction form
    10,424.64/14,386 = 5,708.92/x
  3. Step 3: Cross multiply
    10,424.64x = 14,386 × 5,708.92
  4. Step 4: Simplify right side
    10,424.64x = 82,128,523.12
  5. Step 5: Solve for x
    x = 82,128,523.12/10,424.64
  6. Step 6: Final answer
    x = 7,878.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.